305970 has 64 divisors (see below), whose sum is σ = 884736. Its totient is φ = 66240.

The previous prime is 305947. The next prime is 305971. The reversal of 305970 is 79503.

305970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 305970.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6487 + ... + 6533.

It is an arithmetic number, because the mean of its divisors is an integer number (13824).

2³⁰⁵⁹⁷⁰ is an apocalyptic number.

305970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442368).

305970 is an abundant number, since it is smaller than the sum of its proper divisors (578766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305970 is a wasteful number, since it uses less digits than its factorization.

305970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 305970 is about 553.1455504657. The cubic root of 305970 is about 67.3844387583.

It can be divided in two parts, 305 and 970, that added together give a triangular number (1275 = T₅₀).

The spelling of 305970 in words is "three hundred five thousand, nine hundred seventy".